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Finding the Fourth Proportional to 75,396.45, 104,048.69 and 41,405.45

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Solution

The fourth proportional to 75,396.45, 104,048.69 and 41,405.45 is: 57,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,396.45 : 104,048.69 = 41,405.45 : x
  2. Step 2: Convert to fraction form
    75,396.45/104,048.69 = 41,405.45/x
  3. Step 3: Cross multiply
    75,396.45x = 104,048.69 × 41,405.45
  4. Step 4: Simplify right side
    75,396.45x = 4,308,182,104.09
  5. Step 5: Solve for x
    x = 4,308,182,104.09/75,396.45
  6. Step 6: Final answer
    x = 57,140.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.